PROFESSOR KELLAND ON GENERAL DIFFERENTIATION. 275 
and the equation is reduced to 
+. /—D+1 /—-D+1 ¢/—D+1 ¢ 
4 = .e a GH: Dry fy yar ‘ 







: SDT a 
Let us abbreviate the operation = = = €* by @, and the equation becomes 
(1+6/7—1 b—2a¢°) .y=0. 
If14+6/—1z2—-2a2=(1+az) (1+); this equation is equivalent to 
(l+a$)+8)y=0 
1 
or 






as > 5 = us : 1 0 — p Celene 
Q+ap)Q+8p) “a-B I+ap ~ a—B1+8 
Now Lea pala ap tea a 
ite A/a 

Hence the solution of the given equation is reduced to the solution of the 
two equations 

=e 24D ee 
age Cl). ares 0 

or Teer ees “Troi =0, y¥,-@W— 122 = 

Now these equations have been solved in Class 2, Ex. 3, and they give 
1 
1 
Ae Ss ve) 
oa hee DSO ia Ta 
L 
Ber ad“ ze 3} 
eS REG oi 
a 1 
y= 
(l—a@) a8) 

and 

oY Se 
= Gap kroy Nap 1 eG) : 
- . 
“aap eh eee 
a 
28 ae Pes fal Ja ae) 
It will be readily seen that B is not an arbitrary constant, independent of A 


